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Approximate Analytical Solutions of the Dirac Equation for Yukawa Potential Plus Tensor Interaction with Any kappa-Value
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Date
2013-11-01
Author
Arda, Altug
Sever, Ramazan
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Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any kappa-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing tensor interaction has a Yukawa-like form. Closed forms of the energy eigenvalue equations and the spinor wave functions are computed by using the Nikiforov-Uvarov method. It is observed that the energy eigenvalue equations are consistent with the ones obtained before. Our numerical results are also listed to see the effect of the tensor interaction on the bound states.
Subject Keywords
Pseudospin
,
Coulomb
,
Bound-states
,
1-n expansion
,
Perturbation-theory
URI
https://hdl.handle.net/11511/62457
Journal
FEW-BODY SYSTEMS
DOI
https://doi.org/10.1007/s00601-012-0509-9
Collections
Department of Physics, Article
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EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH
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Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
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The Dirac equation is solved for some exponential potentials the hypergeometric-type potential, the generalized Morse potential, and the Poschl-Teller potential with any spin-orbit quantum number kappa in the case of spin and pseudospin symmetry. We have approximated for non s-waves the centrifugal term by an exponential form. The energy eigenvalue equations and the corresponding wave functions are obtained by using a generalization of the Nikiforov-Uvarov method.
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A. Arda and R. Sever, “Approximate Analytical Solutions of the Dirac Equation for Yukawa Potential Plus Tensor Interaction with Any kappa-Value,”
FEW-BODY SYSTEMS
, pp. 1829–1837, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62457.